A variant of compressed sensing.
Displaying 241 – 260 of 3651
A variant of Hörmander's conditionfor singular integrals
D. Grubb, Charles Moore (1997)
Colloquium Mathematicae
A variant sharp estimate for multilinear singular integral operators
Guoen Hu, Dachun Yang (2000)
Studia Mathematica
We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain type estimates for these multilinear operators.
A variation norm Carleson theorem
Richard Oberlin, Andreas Seeger, Terence Tao, Christoph Thiele, James Wright (2012)
Journal of the European Mathematical Society
We strengthen the Carleson-Hunt theorem by proving estimates for the -variation of the partial sum operators for Fourier series and integrals, for . Four appendices are concerned with transference, a variation norm Menshov-Paley-Zygmund theorem, and applications to nonlinear Fourier transforms and ergodic theory.
A version of the law of large numbers
Katusi Fukuyama (2001)
Colloquium Mathematicae
By the method of Rio [10], for a locally square integrable periodic function f, we prove for almost every x and t > 0.
A wavelet characterization for weighted Hardy spaces.
Si Jue Wu (1992)
Revista Matemática Iberoamericana
In this article we give a wavelet area integral characterization for weighted Hardy spaces Hp(ω), 0 < p < ∞, with ω ∈ A∞. Our wavelet characterization establishes the identification between Hp(ω) and T2p (ω), the weighted discrete tent space, for 0 < p < ∞ and ω ∈ A∞. This allows us to use all the results of tent spaces for weighted Hardy spaces. In particular, we obtain the isomorphism between Hp(ω) and the dual space of Hp'(ω), where 1< p < ∞ and 1/p +...
A way of estimating the convergence rate of the Fourier method for PDE of hyperbolic type
Evgenii Pustylnik (2001)
Czechoslovak Mathematical Journal
The Fourier expansion in eigenfunctions of a positive operator is studied with the help of abstract functions of this operator. The rate of convergence is estimated in terms of its eigenvalues, especially for uniform and absolute convergence. Some particular results are obtained for elliptic operators and hyperbolic equations.
A weak molecule condition for certain Triebel-Lizorkin spaces
Steve Hofmann (1992)
Studia Mathematica
A weak molecule condition is given for the Triebel-Lizorkin spaces Ḟ_p^{α,q}, with 0 < α < 1 and 1 < p, q < ∞. As an easy corollary, one may deduce, by atomic-molecular methods, a Triebel-Lizorkin space "T1" Theorem of Han and Sawyer, and Han, Jawerth, Taibleson and Weiss, for Calderón-Zygmund kernels K(x,y) which are not assumed to satisfy any regularity condition in the y variable.
A weak type inequality for Cauchy transforms of finite measures.
Joan Verdera (1992)
Publicacions Matemàtiques
In this note we present a simple proof of a recent result of Mattila and Melnikov on the existence of limε→0 ∫|ζ-z|>ε (ζ - z)-1dμ(ζ) for finite Borel measures μ in the plane.
A weighted interpolation problem for analytic functions
J. McPhail (1990)
Studia Mathematica
A weighted norm inequality for singular integrals
A. Cordoba, C. Fefferman (1976)
Studia Mathematica
A Weighted Tauberian Theorem.
Ka-Sing Lau (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
A weighted vector-valued weak type (1,1) inequality and spherical summation
Shuichi Sato (1994)
Studia Mathematica
We prove a weighted vector-valued weak type (1,1) inequality for the Bochner-Riesz means of the critical order. In fact, we prove a slightly more general result.
A weighted version of Journé's lemma.
Donald Krug, Alberto Torchinsky (1994)
Revista Matemática Iberoamericana
In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R2 where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces Hu'p (R+2 x R+2) and a description of their duals when p is close to 1.
A₁-regularity and boundedness of Calderón-Zygmund operators
Dmitry V. Rutsky (2014)
Studia Mathematica
The Coifman-Fefferman inequality implies quite easily that a Calderón-Zygmund operator T acts boundedly in a Banach lattice X on ℝⁿ if the Hardy-Littlewood maximal operator M is bounded in both X and X'. We establish a converse result under the assumption that X has the Fatou property and X is p-convex and q-concave with some 1 < p, q < ∞: if a linear operator T is bounded in X and T is nondegenerate in a certain sense (for example, if T is a Riesz transform) then M is bounded in both X and...
Abelova cena v roce 2017 udělena za teorii waveletů
Michal Křížek (2017)
Pokroky matematiky, fyziky a astronomie
Abelovu cenu za matematiku získal v roce 2017 francouzský matematik Yves Meyer za rozvoj teorie waveletů. V článku se seznámíme s jeho vědeckým životopisem, hlavní myšlenkou teorie waveletů a jejich použitím v praxi.
About a non-homogeneous Hardy-inequality and its relation with the spectrum of Dirac operators
Jean Dolbeault, Maria J. Esteban, Eric Séré (2001/2002)
Séminaire Équations aux dérivées partielles
A non-homogeneous Hardy-like inequality has recently been found to be closely related to the knowledge of the lowest eigenvalue of a large class of Dirac operators in the gap of their continuous spectrum.
About Certain Singular Kernels K(x,y) = K1(x-y)K2(x+y).
T. Godoy, M. Urciuolo, L. Saal (1994)
Mathematica Scandinavica
About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system.
Astashkin, Sergey V. (2001)
International Journal of Mathematics and Mathematical Sciences
About Riesz transforms on the Heisenberg groups.
D. Müller, T. Coulhon, J. Zienkiewicz (1996)
Mathematische Annalen